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//Fluid system - By - Shiv Kumar
//Chapter 2 - Impact of Jet
//Example 2.23
clc
clear
//Given Data:-
Vi=65; //Absolut velocity of Jet at Inlet, m/s
Ri=400; //Inner radius of wheel, mm
Ro=800; //outer radius of wheel, mm
alpha_i=24; //degrees
Vfo=12; //Flow velocity at outlet, m/s
beta_i=40; //blade angle at Inlet, degrees
beta_o=30; //Blade angle at outlet, degrees
//Data Used:-
g=9.81; //Acceleration due to gravity, m/s^2
//Computations:-
Ri=Ri/1000; //m
Di=2*Ri; //m
Ro=Ro/1000; //m
Do=2*Ro; //m
Vfi=Vi*sind(alpha_i); //m/s
Vwi=Vi*cosd(alpha_i); //m/s
Vrwi=Vfi/tand(beta_i); //m/s
//(a)
ui=Vwi-Vrwi; //m/s
N=ui*60/(%pi*Do); //rpm
omega=2*%pi*N/60; //rad/s
uo=%pi*Di*N/60; //m/s
Vro=Vfo/sind(beta_o); //m/s
Vrwo=Vro*cosd(beta_o); //m/s
Vwo=Vrwo-uo; //m/s
//(b)
W=(Vwi*ui+Vwo*uo)/g; //Work done per unit weight of water, N-m/N
//(c)
eta=(Vwi*ui+Vwo*uo)*2/Vi^2*100; //In percentage
//Results:-
printf("(a)For the speed of wheel: \n\t")
printf("N=%.2f rpm \n\t", N) //The answer vary due to round off error
printf("Angular velocity, omega=%.2f rad/s \n\t", omega) //The answer vary due to round off error
printf("Peripheral velocity of wheel at outlet, uo=%.2f m/s \n\t", uo)
printf("Vwo=%.2f m/s \n\n", Vwo) //The answer vary due to round off error
printf("(b)Work done per unit weight of water=%.2f N-m/N \n", W) //The answer vary due to round off error
printf("(c)Efficiency of the system, eta=%.2f percent", eta) //The answer vary due to round off error
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